Is Order Important in Permutations and Combinations for Probability?

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Homework Help Overview

The discussion revolves around the concepts of permutations and combinations in the context of probability. Participants are exploring the implications of order in these mathematical constructs and how it affects the probability of events.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the relationship between permutations and combinations, particularly how order affects probability. Some are attempting to clarify the definitions and implications of nPr and nCr, while others are exploring specific examples to illustrate their points.

Discussion Status

The discussion is ongoing, with participants expressing confusion about the relationships between permutations and combinations. Some have provided examples to support their reasoning, while others are seeking clarification on the definitions of n and r. There is no explicit consensus yet, but various interpretations are being explored.

Contextual Notes

There appears to be some misunderstanding regarding the definitions of n and r in the context of permutations and combinations, which is contributing to the confusion about their probabilities. Participants are also navigating the implications of these definitions on their calculations.

hazim
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[SOLVED] what's wrong with this

nPr= n!/(n-r)! and here in permutation order is important, and in combination
nCr= n!/( r!(n-r)! ) order is not important, so the propability of ana event will be more for combination from permutation, but permutation is combination times r!, so what is wrong with me and not with my question:smile:
 
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i don't know who told u that in permutation order is not important because i think it is important...that's the difference between permutation and combination.
 
sorry i was mistaken but now i corrected my question
 
the PROBABILITY will be more for combination
eg. nCr=7
and nPr= 60
so let's say the number 2 is in both then prob for nCr is 2/7
and for nPr it's 2/60
2/7 is greater than 2/60
am i making any sense?
i'm not sure if that's 100% right.
 
i didn't understand you, i mean if n and r are the same for combination and permutation, the result will be nCr > nPr, that is what I'm not understanding, but what is r and n in your post?
 
whatever r and n are...it doesn't matter because u want the probability, so if nPr>nCr, then the probaility of nCr is > prob of nPr.
 

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